Idol sat around on a weekday (6)
I believe the answer is:
statue
'idol' is the definition.
'sat around on a weekday' is the wordplay.
'around' indicates anagramming the letters.
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'a weekday' becomes 'tue' (abbreviation for Tuesday; 'wee' suggests an abbreviation).
'sat' anagrammed gives 'sta'.
'sta'+'tue'='STATUE'
(Other definitions for statue that I've seen before include "Noble's rank or dignity" , "Stiff sort of personality" , "Modelled figure of a human or animal" , "Three-dimensional work of art" , "A carved or sculpted figure" .)